Question

A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, how long does he disturbance take to reach the other end ?

Answer 1

M = 2.50 kg
T = 200 N
l = 20.0 m
Mass per unit length, $\mu =M/l=2.50/20=0.125Kg{m}^{-1}$
The velocity (v) of the transverse wave in the string is given by the relation:
$v=\sqrt{T/\mu }$
= $\sqrt{200/0.125}=\sqrt{1600}=40m/s$
∴ Time taken by the disturbance to reach the other end,

$t=l/v=20/40=0.5s$